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Finding the Fourth Proportional to 20,476.20, 30,774.89 and 16,988.83

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Solution

The fourth proportional to 20,476.20, 30,774.89 and 16,988.83 is: 25,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.20 : 30,774.89 = 16,988.83 : x
  2. Step 2: Convert to fraction form
    20,476.20/30,774.89 = 16,988.83/x
  3. Step 3: Cross multiply
    20,476.20x = 30,774.89 × 16,988.83
  4. Step 4: Simplify right side
    20,476.20x = 522,829,374.48
  5. Step 5: Solve for x
    x = 522,829,374.48/20,476.20
  6. Step 6: Final answer
    x = 25,533.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.